1. Let A = 3 2 −1 1 3 2 4 5 1 . The rank of A is (a) 2 (b) 3 (c) 0 (d) 4 (e
... 14. Let P2 = {a0 +a1 t+a2 t2 } where {a0 , a1 , a2 } range over all real numbers, and let T : P2 → P1 be a linear transformation given by T (a0 +a1 t+a2 t2 ) = a1 +2a2 t. Suppose that B = {1, t, t2 } is a basis of P2 and C = {1, t} is a basis of P1 . (1) Find a matrix A such that [T v]C = A[x]B . (2 ...
... 14. Let P2 = {a0 +a1 t+a2 t2 } where {a0 , a1 , a2 } range over all real numbers, and let T : P2 → P1 be a linear transformation given by T (a0 +a1 t+a2 t2 ) = a1 +2a2 t. Suppose that B = {1, t, t2 } is a basis of P2 and C = {1, t} is a basis of P1 . (1) Find a matrix A such that [T v]C = A[x]B . (2 ...
5.1 Introduction
... the columns of the new matrix, and vice versa. The new matrix is called the transpose of the original. The transposes of the matrices B and L above are denoted by B T and LT . They are the matrices ...
... the columns of the new matrix, and vice versa. The new matrix is called the transpose of the original. The transposes of the matrices B and L above are denoted by B T and LT . They are the matrices ...
A is square matrix. If
... product of symmetric matrices that is not symmetric, and the second shows a product of symmetric matrices that is symmetric. We conclude that the factors in the first equation do not commute, but those in the ...
... product of symmetric matrices that is not symmetric, and the second shows a product of symmetric matrices that is symmetric. We conclude that the factors in the first equation do not commute, but those in the ...
